Search a number
-
+
30426624 = 29333171
BaseRepresentation
bin111010000010…
…0011000000000
32010020211111000
41310010120000
530242122444
63004052000
7516423234
oct164043000
963224430
1030426624
11161a1a78
12a234000
1363c4227
1440805c4
152a10469
hex1d04600

30426624 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 9676800.

The previous prime is 30426607. The next prime is 30426637. The reversal of 30426624 is 42662403.

30426624 is a `hidden beast` number, since 30 + 4 + 2 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428509 + ... + 428579.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 230426624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

30426624 is an abundant number, since it is smaller than the sum of its proper divisors (63853056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30426624 is an equidigital number, since it uses as much as digits as its factorization.

30426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 30426624 is about 5516.0333574046. The cubic root of 30426624 is about 312.1892343148.

The spelling of 30426624 in words is "thirty million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 71 72 93 96 108 124 128 142 144 186 192 213 216 248 256 279 284 288 372 384 426 432 496 512 558 568 576 639 744 768 837 852 864 992 1116 1136 1152 1278 1488 1536 1674 1704 1728 1917 1984 2201 2232 2272 2304 2556 2976 3348 3408 3456 3834 3968 4402 4464 4544 4608 5112 5952 6603 6696 6816 6912 7668 7936 8804 8928 9088 10224 11904 13206 13392 13632 13824 15336 15872 17608 17856 18176 19809 20448 23808 26412 26784 27264 30672 35216 35712 36352 39618 40896 47616 52824 53568 54528 59427 61344 70432 71424 79236 81792 105648 107136 109056 118854 122688 140864 142848 158472 163584 211296 214272 237708 245376 281728 316944 327168 422592 428544 475416 490752 563456 633888 845184 950832 981504 1126912 1267776 1690368 1901664 2535552 3380736 3803328 5071104 7606656 10142208 15213312 30426624